Answer:
- w = 8
- x = 8√2
- y = 8√2
- z = 16
Step-by-step explanation:
A 45-45-90 right triangle is isosceles. That means both legs are the same length, and its hypotenuse is √2 times the leg length. You can figure these facts using trigonometry or the Pythagorean theorem, or you can rely on your memory of them.
w = 8 . . . . . . . . . . . same as the leg length shown
x = y = 8√2 . . . . . hypotenuse of smaller triangle; both legs are the same
z = (8√2)√2 = 16 . . . . hypotenuse of larger triangle
Given:
The table of values is
Number of Students : 7 14 21 28
Number of Textbooks : 35 70 105 140
To find:
The rate of change and showing that the ratios of the two quantities are proportional and equivalent to the unit rate.
Solution:
The ratio of number of textbooks to number of students are
All the ratios of the two quantities are proportional and equivalent to the unit rate.
Let y be the number of textbooks and x be the number of students, then
Here, k=5.
Hence the rate of change is constant that is 5.
Answer:
8x² + 3x - 8
Step-by-step explanation:
(f + g)(x) = f(x) + g(x)
f(x) + g(x) = 6x² + 3x + 1 + 2x² - 9 = 8x² + 3x - 8
151 because the a and the b are that number so the other number would need to add up so the answer is 151
Answer:
B
Step-by-step explanation:
Use y=mx+b where m=slope (-3) and b=y-intercept (5). After simplifying answer b (dividing everything by 4), the answer fits the criteria
